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Simplifying -20j + 20 + 20 = -5(8j + 20) Reorder the terms: 20 + 20 + -20j = -5(8j + 20) Combine like terms: 20 + 20 = 40 40 + -20j = -5(8j + 20) Reorder the terms: 40 + -20j = -5(20 + 8j) 40 + -20j = (20 * -5 + 8j * -5) 40 + -20j = (-100 + -40j) Solving 40 + -20j = -100 + -40j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '40j' to each side of the equation. 40 + -20j + 40j = -100 + -40j + 40j Combine like terms: -20j + 40j = 20j 40 + 20j = -100 + -40j + 40j Combine like terms: -40j + 40j = 0 40 + 20j = -100 + 0 40 + 20j = -100 Add '-40' to each side of the equation. 40 + -40 + 20j = -100 + -40 Combine like terms: 40 + -40 = 0 0 + 20j = -100 + -40 20j = -100 + -40 Combine like terms: -100 + -40 = -140 20j = -140 Divide each side by '20'. j = -7 Simplifying j = -7
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